Answer:
(E) 1
Step-by-step explanation:
2r+ (2r+3 ) < 11
Combine like terms
4r+3 < 11
Subtract 3 from each side
4r +3-3 < 11-3
4r < 8
Divide each side by 4
4r/4 < 8/4
r <2
The only possible choice is 1
A mode is the most often occurring number, so the answer is 14
The volume of a cylinder is the area of the base, times the height.
<span>The area of the circular base is, of course, π times the square of its radius. </span>
<span>So the volume of a cylinder, V, is </span>
<span>V = π h r^2 </span>
<span>where h is the height and r is the radius. </span>
<span>If we multiply the height by 3, the new height is 3h. </span>
<span>If we multiply the width by 3, that multiplies the radius (which is half the width) by 3 also. </span>
<span>So the new volume would be </span>
<span>π (3h) (3r)^2 = π (3h) (9r^2) = 27π h r^2 </span>
<span>which is 27 times π h r^2, the volume of the smaller pool. But we know that volume is 37 cubic feet. </span>
<span>So the volume of the larger pool is </span>
<span>27 * 37 cubic feet = 999 cubic feet [answer B] </span>
<span>This is an instance of a general rule: </span>
<span>If we multiply ALL the linear dimensions of an object by a factor F, </span>
<span>while keeping the shape the same (often termed "similar" in geometry), </span>
<span>that multiplies the volume by F^3 (the cube of F). </span>
<span>It also multiplies the surface area by F^2. </span>
<span>These rules are very useful, especially when you hit these questions on an exam under time constraints. If you know them, you'll save time you can use to work other questions.</span>
Supplementary angles are two angles that when add equal 180 degrees.
The supplement of an angle is 180 - n.
n = 17(180 - n)
n = 3060 - 17n
n + 17n = 3060
18n = 3060
n = 3060/18
n = 170
so the unknown angle (n) = 170 degrees and its supplement = (180 - 170 = 10)......= 10 degrees.
Answer:
20 feet
Step-by-step explanation:
7/1.4=5
5*4=20
